Writing the Equation of a Line: Slope-Intercept

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in the equation of a line?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation of a line?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you find the slope between two points (x₁, y₁) and (x₂, y₂)?

Back

The slope is calculated using the formula m = (y₂ - y₁) / (x₂ - x₁).

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

The y-intercept of the line is 4.

Front

Convert the equation 2x + 3y = 6 to slope-intercept form.

Back

The slope-intercept form is y = -2/3x + 2.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -3?

Back

The equation is y = 1x - 3 or y = x - 3.